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kotegsom [21]
3 years ago
12

riangle XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z'. What is the distance between any two corresponding point

s on ΔXYZ and ΔX'Y'Z′?
Mathematics
1 answer:
tester [92]3 years ago
7 0

Answer:

5 units

Step-by-step explanation:

According to the given statement  Δ XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z' which means that each point in ΔXYZ is moved 4 units up and moved 3 units left.

To find the distance of each corresponding point we will use the Pythagorean theorem which states that the square of the length of the Pythagorean of a right triangle is equal to the sum of the squares of the length of other legs

The square of the required distance = 4^2+3^2 = 16+9 =25

By taking root of 25 we get:

√25 = 5

Thus, we can conclude that the the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′  is 5 units. ..

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Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly wha
marta [7]

Answer:

0.6x < 12.5

x < 20.83 days

Step-by-step explanation:

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality

Car fuel capacity = 14 gallons

Fuel capacity that shows warning light = 1.5 gallons

Fuel capacity without warning light = Car fuel capacity - Fuel capacity that shows warning light

= 14 gallons - 1.5 gallons

= 12.5 gallons

Fuel used per day = 0.6 gallons

Let

x = number of days Diego's father can drive the car without the warning light coming on

The inequality is

0.6x < 12.5

Solve for x

x < 12.5/0.6

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7 0
3 years ago
The base value is the <br><br> A. New value <br><br> B. Current value
Andrei [34K]
The base value is the current value

Good luck! I hope this helps!
6 0
3 years ago
Determine which postulate can be used
Kruka [31]

Answer:

SAS postulate

Step-by-step explanation:

The triangles have two congruent sides and one congruent angle. The congruent angle is the included angle. This meets SAS criteria.

<u>Hope this helps :-)</u>

3 0
3 years ago
An athlete ran 800 meters in 160 seconds. What was his rate in meters per minute? Enter your answer in the box.
FromTheMoon [43]

The athlete's average speed was 300 meters/minute.

<h3>How to calculate the speed of the athlete?</h3>

To calculate the speed of the athlete we must perform the following operations.

Divide the distance into the total time:

  • 800m ÷ 160sec = 5m/sec

Transform the value from seconds to minutes, for which we must multiply 5 by 60 because each minute is made up of 60 seconds.

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According to the above, the average speed of the athlete is 300m/min.

Learn more about speed in: brainly.com/question/7359669

3 0
1 year ago
Pls help I’ll brainlest ASAP
Burka [1]
So, and, but, but, or, nor, so. Im pretty sure this is correct.
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3 years ago
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